How long is the tank going to be there?
The carpet under the stand is not going to get walked on, thus will be in better shape in a couple years than the main area of the room. Once the weight is removed, it'll just take a little time for the fluff to get back into the carpet. The biggest problem will be food and water spills staining the carpet near the stand. So, perhaps put a throw rug in front of it to catch spills and you'll be good to go.
The carpet under the stand is not going to get walked on, thus will be in better shape in a couple years than the main area of the room. Once the weight is removed, it'll just take a little time for the fluff to get back into the carpet. The biggest problem will be food and water spills staining the carpet near the stand. So, perhaps put a throw rug in front of it to catch spills and you'll be good to go.